Determine if the series converges or diverges.

Answer

The divergence test says that since the terms converge to zero, the series *might* converge. Again, we have options.

- This is an alternating series whose terms are approaching zero and have strictly decreasing magnitudes. The AST says the series converges.
- We can show that the series of absolute valuesconverges by either the integral test or the ratio test. Since absolute convergence implies convergence, the original seriesconverges.